Search a number
-
+
13831424 = 2897557
BaseRepresentation
bin110100110000…
…110100000000
3222000201010222
4310300310000
512020101144
61212242212
7225364565
oct64606400
928021128
1013831424
117897832
124770368
132b33799
141ba086c
1513332ee
hexd30d00

13831424 has 36 divisors (see below), whose sum is σ = 27943524. Its totient is φ = 6832128.

The previous prime is 13831417. The next prime is 13831427. The reversal of 13831424 is 42413831.

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 10445824 = 1840^2 + 3232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13831393 and 13831402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831427) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24554 + ... + 25110.

It is an arithmetic number, because the mean of its divisors is an integer number (776209).

Almost surely, 213831424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13831424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13971762).

13831424 is an abundant number, since it is smaller than the sum of its proper divisors (14112100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13831424 is an frugal number, since it uses more digits than its factorization.

13831424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 13831424 is about 3719.0622473952. The cubic root of 13831424 is about 240.0429552744.

The spelling of 13831424 in words is "thirteen million, eight hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 557 776 1114 1552 2228 3104 4456 6208 8912 12416 17824 24832 35648 54029 71296 108058 142592 216116 432232 864464 1728928 3457856 6915712 13831424